Escapade comma: Difference between revisions
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ArrowHead294 (talk | contribs) mNo edit summary |
Fixed typo. ssp^94 would be very different. |
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| Monzo = 32 -7 -9 | | Monzo = 32 -7 -9 | ||
| Name = escapade comma | | Name = escapade comma | ||
| Color name = | | Color name = ssg<sup>9</sup>4, sasa-tritrigu 4th | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''escapade comma''' ( | The '''escapade comma''' ({{monzo|legend=1| 32 -7 -9 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (5/3)/(16/15)<sup>8</sup>, that is, the difference between a stack of eight [[16/15|classic diatonic semitones]] and a [[5/3|classic major sixth]]. In terms of commas, it is equal to two [[128/125|lesser dieses]] minus three [[81/80|syntonic commas]] and one [[15625/15552|kleisma]], that is, (128/125)<sup>2</sup>/((15625/15552)(81/80)<sup>3</sup>). | ||
== Temperaments == | == Temperaments == | ||
| Line 15: | Line 13: | ||
== Etymology == | == Etymology == | ||
The escapade comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by [[Carl Lumma]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. | The escapade comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by [[Carl Lumma]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. | ||
== Notes == | == Notes == | ||
[[Category:Escapade]] | [[Category:Escapade]] | ||
[[Category:Commas named following events]] | |||
Latest revision as of 09:30, 13 March 2025
| Interval information |
reduced subharmonic
The escapade comma (monzo: [32 -7 -9⟩) is a small 5-limit comma with a size of 9.492 cents. It is the difference between nine just major thirds and seven just perfect fourths, that is, (4/3)7/(5/4)9. This can also be written as (5/3)/(16/15)8, that is, the difference between a stack of eight classic diatonic semitones and a classic major sixth. In terms of commas, it is equal to two lesser dieses minus three syntonic commas and one kleisma, that is, (128/125)2/((15625/15552)(81/80)3).
Temperaments
Temperaments in the escapade family tempers out this comma.
Etymology
The escapade comma seems to have been named by Paul Erlich in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by Carl Lumma[1].